The radius of the base of a cone is x cm and its height is h cm

The radius of a sphere is 2x cm

The v olume of the cone and the vilume of the sphere are equal

Express h in terms of x

So

$\displaystyle \frac{1}{3}\pi r^{2}h=\frac{4}{3}\pi r^{3}\rightarrow $$\displaystyle \text{cancel out pi and 1/3} \rightarrow x^2h=4*4x^2\rightarrow x^2h=16x^3\rightarrow h=16x^3-x^2=x^2(16x-1)$ note: I replaced the r with the x and 2x from circle and cone. Am I correct?